Exotic baryons in two-dimensional QCD

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Published 24 August 2005 Published under licence by IOP Publishing Ltd
, , Citation John Ellis and Yitzhak Frishman JHEP08(2005)081 DOI 10.1088/1126-6708/2005/08/081

1126-6708/2005/08/081

Abstract

Two-dimensional QCD has often been used as a laboratory for studying the full four-dimensional theory, providing, for example, an explicit realization of baryons as solitons. We review aspects of conventional baryons in two-dimensional QCD, including the classical and quantum contributions to their masses. We then discuss the spectrum of exotic baryons in two-dimensional QCD, commenting on the solitonic radius inferred from the excitation spectrum as well as the two-dimensional version of the Goldberger-Treiman relation relating meson couplings to current matrix elements. Our treatment of two-dimensional QCD, via the semi-classical quantization of collective coordinates, is consistent with chiral-soliton approaches to normal and exotic baryons in four dimensions, but is not able to resolve all the issues arising in four-dimensional models.

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10.1088/1126-6708/2005/08/081